1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saveliy_v [14]
3 years ago
9

Solve the questions

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Let's do the trig part first, then the calculus.  First we simplify the integrand.

\cot^3 x \sin ^3 x=\dfrac{\cos^3 x}{\sin^3 x} \sin^3 x= \cos^3 x

The triple angle formula is:

\cos 3x = 4 \cos^3 x - 3 \cos x

or

\cos^3 x = \frac 1 4 (\cos 3x + 3 \cos x)

Now we can integrate:

\displaystyle \int \cot^3 x \sin^3 x \ dx = \int \cos^3 x\ dx= \int \tfrac 1 4 (\cos 3x + 3 \cos x)\ dx

=\frac 1 4 (\frac 1 3 \sin 3x + 3 \sin x) + C

=\frac 1 {12} \sin 3x + \frac 3 4 \sin x + C



You might be interested in
If you doubled a recipe that makes 2 doz. cookies how many cookies would you expect to make ​
Elena L [17]

Answer:

48

Step-by-step explanation:

remember 1 dozen of something is 12 of that object

so 1 dozen cookies is 12 cookies

two dozen means two times one dozen

or 2-times twelve (because there are twelve of an object in a dozen)

2 times 12 is 24

now you double the recipe that makes 2 dozen cookies

so you have 24 cookies and you multiply that by 2 to double it and you get 48

3 0
3 years ago
Read 2 more answers
Which equation is equivalent to n + 4 = 11? *
tresset_1 [31]

Answer: b.

Step-by-step explanation: I have the answer sheet

6 0
3 years ago
May someone please give me the answer
Aleks [24]

Answer: why did you delete  one of my questions!!!! whats your prob

Step-by-step explanation:

7 0
3 years ago
Find the missing length the triangles are similar
aliina [53]

Answer:

13

Step-by-step explanation:

The triangle we need to find out one of the measurements for has one length of 11, the similar triangle has a length of 22.

22 divided by 2 is 11 there for 26 divided by 2 is 13.

5 0
3 years ago
Fifteen is % of 120.
Mariana [72]

Answer:

15 is 12.5% of 120

35% of 160 is 56

48 is 80%of 60

11 is 20% of 55

1.Equation- a statement that two expressions are equal.

2.Expression- a phrase that represents a mathematical relationship

Step-by-step explanation:

Hope this helps! Sorry if any are wrong!

3 0
3 years ago
Read 2 more answers
Other questions:
  • Someone please help me solve for Y. The last 2 answer choices you can’t see are y= 2 and y=2/3
    12·1 answer
  • Suppose the names of the months of the year are placed in a hat and a name is drawn at random. (a) list the sample space for thi
    10·1 answer
  • Evaluate each equation<br>log(2) 16​
    5·1 answer
  • What is the volume of a rectangular prism with the following dimensions?
    5·2 answers
  • 8/3 +- 3/2= <br><br> Adding and Subtractions Fractions.
    9·1 answer
  • Which arrangement shows - 31 -4.7, -4, and 3 in order from least to greatest?
    9·1 answer
  • The table shows which school subjects are favored by a group of students. Predict the number of students out of 400 that would p
    15·2 answers
  • Explain how the ratios 5 tacos for every 2 guest and 2 tacos for every 5 guests are different. Include a model in your explanati
    7·1 answer
  • What is P(divisor of 24)?
    12·2 answers
  • 1/2oz 3x day for 7 days how many doses will a patient use
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!